BGE Actions not working to the rig [any of the other questions helped]
First aid:


un-parent skin mesh object from armature object
ensure the skin mesh object has no modifiers at that state
parent the skin mesh object to the armature object in deform mode
ensure the skin mesh has vertex groups matching the bone names
ensure you have an animation (action) that belongs to the armature
add logic bricks that activate an Action actuator playing your animation in-game
start the BGE and activate the above logic


E.g. 

Always -> AND -> Action Actuator